There is Thomson's version only in Aloys Fleischmann's Sources of Irish Traditional Music c.1600-1855, vol. 2 (Garland, 1998), no. 5413. "We'll Make a Bed in the Barn" is not in this collection.

X:1
T: The Parson Boasts of Mild Ale
M:9/8
L:1/8
S:Fleischmann, Sources of Irish Traditional Music, no. 5413
K:Bb
D|G2G GAB D2D|F2F cAF A/c3/2A|GGG GAB D2D|
G2G dBG B/d3/2 c|B2B B2d f2B|A2F FcB ABc|
BAG G2D G2G|dBG GAG B/d3/2 ||:c|B2B BBd f2B|
A2F FcB ABc|BAG G2 D/D/G2G|dBG GAG B/d3/2 z:||